{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Draw Mobius Ring\n",
    "## Dependencies\n",
    "- numpy\n",
    "- sympy\n",
    "- matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sympy import *\n",
    "from sympy.abc import r,theta,beta,omega,pi,x,y,z\n",
    "from sympy.plotting import plot3d_parametric_surface\n",
    "from matplotlib import pyplot as plt \n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Math Expression\n",
    "### Symbolic Representation\n",
    "#### 参量\n",
    "* $\\theta$: 方向角\n",
    "* $\\omega$: 中环距\n",
    "#### 变量\n",
    "* $\\beta$:  倾斜角\n",
    "* r:        环心半径\n",
    "#### 常数\n",
    "* R:        环带半径\n",
    "* W:        环带宽度\n",
    "### Analytic Expression\n",
    "$$\n",
    "\\begin{cases}\n",
    "x=(r+\\omega\\cos(\\frac{\\theta}2))\\cos(\\theta)\\\\\n",
    "y=(r+\\omega\\cos(\\frac{\\theta}2))\\sin(\\theta)\\\\\n",
    "z=\\omega\\sin(\\frac{\\theta}2)\n",
    "\\end{cases}\n",
    "s.t.\n",
    "\\begin{cases}\n",
    "\\theta\\in[0,2\\pi]\\\\\n",
    "\\omega\\in[-\\frac W2,\\frac W2]\n",
    "\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Define analysis expression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Eq((x, y, z), ((omega*cos(beta) + r)*cos(theta), (omega*cos(beta) + r)*sin(theta), omega*sin(beta)))",
      "text/latex": "$\\displaystyle \\left( x, \\  y, \\  z\\right) = \\left( \\left(\\omega \\cos{\\left(\\beta \\right)} + r\\right) \\cos{\\left(\\theta \\right)}, \\  \\left(\\omega \\cos{\\left(\\beta \\right)} + r\\right) \\sin{\\left(\\theta \\right)}, \\  \\omega \\sin{\\left(\\beta \\right)}\\right)$"
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "source": [
    "x_expr = (r+omega*cos(beta))*cos(theta)\n",
    "y_expr = (r+omega*cos(beta))*sin(theta)\n",
    "z_expr = omega*sin(beta)\n",
    "Eq((x,y,z),(x_expr,y_expr,z_expr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Eq(beta, theta/2)",
      "text/latex": "$\\displaystyle \\beta = \\frac{\\theta}{2}$"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "beta_expr = theta/2\n",
    "Eq(beta,beta_expr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Eq((x, y, z), ((omega*cos(theta/2) + r)*cos(theta), (omega*cos(theta/2) + r)*sin(theta), omega*sin(theta/2)))",
      "text/latex": "$\\displaystyle \\left( x, \\  y, \\  z\\right) = \\left( \\left(\\omega \\cos{\\left(\\frac{\\theta}{2} \\right)} + r\\right) \\cos{\\left(\\theta \\right)}, \\  \\left(\\omega \\cos{\\left(\\frac{\\theta}{2} \\right)} + r\\right) \\sin{\\left(\\theta \\right)}, \\  \\omega \\sin{\\left(\\frac{\\theta}{2} \\right)}\\right)$"
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "source": [
    "Eq((x,y,z),tuple(map(lambda expr:expr.subs(beta,beta_expr),(x_expr,y_expr,z_expr))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Set Parameter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "R = 10\n",
    "W = 10\n",
    "a = 36\n",
    "b = 20"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Calculate it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta_range = np.linspace(0,2*np.pi,a)\n",
    "omega_range = np.linspace(-W/2,W/2,b)\n",
    "theta_mesh,omega_mesh = np.meshgrid(theta_range,omega_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_expr,Y_expr,Z_expr = map(lambda expr:expr.subs([(beta,beta_expr),(r,R)]),(x_expr,y_expr,z_expr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1ead3542c88>"
     },
     "metadata": {},
     "execution_count": 18
    }
   ],
   "source": [
    "plot3d_parametric_surface(X_expr,Y_expr,Z_expr,(theta,0,2*np.pi),(omega,-W/2,W/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "X,Y,Z = map(lambda expr:lambdify([theta,omega],expr,'numpy')(theta_mesh,omega_mesh),(X_expr,Y_expr,Z_expr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Draw it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x21d610e3ac8>"
     },
     "metadata": {},
     "execution_count": 11
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "ax.set_zlim(-.8*W,.8*W)\n",
    "plt.axis('off')\n",
    "\n",
    "ax.plot_wireframe(X,Y,Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python36864bit3f53e4684f024fc68f038ddcedf7a612",
   "display_name": "Python 3.6.8 64-bit"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}